105156212664 has 64 divisors (see below), whose sum is σ = 265624128000. Its totient is φ = 34688373120.

The previous prime is 105156212663. The next prime is 105156212687. The reversal of 105156212664 is 466212651501.

It is a super-2 number, since 2×105156212664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105156212663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170869 + ... + 2218779.

It is an arithmetic number, because the mean of its divisors is an integer number (4150377000).

Almost surely, 2^105156212664 is an apocalyptic number.

It is an amenable number.

105156212664 is an abundant number, since it is smaller than the sum of its proper divisors (160467915336).

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

105156212664 is a wasteful number, since it uses less digits than its factorization.

105156212664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48868 (or 48864 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 105156212664 in words is "one hundred five billion, one hundred fifty-six million, two hundred twelve thousand, six hundred sixty-four".