100652640 has 144 divisors (see below), whose sum is σ = 348700464. Its totient is φ = 24386560.

The previous prime is 100652639. The next prime is 100652677. The reversal of 100652640 is 46256001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100652640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57214 + ... + 58946.

It is an arithmetic number, because the mean of its divisors is an integer number (2421531).

Almost surely, 2^100652640 is an apocalyptic number.

100652640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174350232).

100652640 is an abundant number, since it is smaller than the sum of its proper divisors (248047824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100652640 is a wasteful number, since it uses less digits than its factorization.

100652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 100652640 is about 10032.5789306638. The cubic root of 100652640 is about 465.1664567664.

The spelling of 100652640 in words is "one hundred million, six hundred fifty-two thousand, six hundred forty".