100467840 has 256 divisors, whose sum is σ = 359562240. Its totient is φ = 23654400.

The previous prime is 100467799. The next prime is 100467859. The reversal of 100467840 is 48764001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100467798 and 100467807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415005 + ... + 1415075.

It is an arithmetic number, because the mean of its divisors is an integer number (1404540).

Almost surely, 2^100467840 is an apocalyptic number.

100467840 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 100467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781120).

100467840 is an abundant number, since it is smaller than the sum of its proper divisors (259094400).

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

100467840 is a wasteful number, since it uses less digits than its factorization.

100467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 100467840 is about 10023.3647045291. The cubic root of 100467840 is about 464.8815977879.

The spelling of 100467840 in words is "one hundred million, four hundred sixty-seven thousand, eight hundred forty".