105902772 has 12 divisors (see below), whose sum is σ = 247106496. Its totient is φ = 35300920.

The previous prime is 105902759. The next prime is 105902807. The reversal of 105902772 is 277209501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105902772² = 22430794234567968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4412604 + ... + 4412627.

It is an arithmetic number, because the mean of its divisors is an integer number (20592208).

Almost surely, 2^105902772 is an apocalyptic number.

105902772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105902772 is an abundant number, since it is smaller than the sum of its proper divisors (141203724).

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

105902772 is a wasteful number, since it uses less digits than its factorization.

105902772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825238 (or 8825236 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 105902772 is about 10290.9072486346. The cubic root of 105902772 is about 473.1176056331.

The spelling of 105902772 in words is "one hundred five million, nine hundred two thousand, seven hundred seventy-two".