105656940 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 26231040.

The previous prime is 105656939. The next prime is 105657103. The reversal of 105656940 is 49656501.

105656940 is a `hidden beast` number, since 1 + 0 + 56 + 569 + 40 = 666.

It is a super-2 number, since 2×105656940² = 22326777940327200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105656895 and 105656904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583650 + ... + 583830.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^105656940 is an apocalyptic number.

105656940 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 105656940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

105656940 is an abundant number, since it is smaller than the sum of its proper divisors (246578580).

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

105656940 is a wasteful number, since it uses less digits than its factorization.

105656940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105656940 is about 10278.9561726860. The cubic root of 105656940 is about 472.7512395281.

The spelling of 105656940 in words is "one hundred five million, six hundred fifty-six thousand, nine hundred forty".