105408972 has 24 divisors (see below), whose sum is σ = 273282800. Its totient is φ = 35136288.

The previous prime is 105408971. The next prime is 105409013. The reversal of 105408972 is 279804501.

It is a super-2 number, since 2×105408972² = 22222102756193568, 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 not an unprimeable number, because it can be changed into a prime (105408971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487897 + ... + 488112.

Almost surely, 2^105408972 is an apocalyptic number.

105408972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105408972 is an abundant number, since it is smaller than the sum of its proper divisors (167873828).

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

105408972 is a wasteful number, since it uses less digits than its factorization.

105408972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976022 (or 976014 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105408972 is about 10266.8871621344. The cubic root of 105408972 is about 472.3811139545.

The spelling of 105408972 in words is "one hundred five million, four hundred eight thousand, nine hundred seventy-two".