105551640 has 128 divisors (see below), whose sum is σ = 372600000. Its totient is φ = 26486784.

The previous prime is 105551629. The next prime is 105551647. The reversal of 105551640 is 46155501.

It is a happy number.

105551640 is a `hidden beast` number, since 10 + 5 + 5 + 5 + 1 + 640 = 666.

It is a super-2 number, since 2×105551640² = 22282297413379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105551647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15486 + ... + 21234.

Almost surely, 2^105551640 is an apocalyptic number.

105551640 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 105551640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186300000).

105551640 is an abundant number, since it is smaller than the sum of its proper divisors (267048360).

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

105551640 is a wasteful number, since it uses less digits than its factorization.

105551640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105551640 is about 10273.8327804184. The cubic root of 105551640 is about 472.5941359430.

The spelling of 105551640 in words is "one hundred five million, five hundred fifty-one thousand, six hundred forty".