105402213664 has 24 divisors (see below), whose sum is σ = 226375209648. Its totient is φ = 47910096960.

The previous prime is 105402213647. The next prime is 105402213737. The reversal of 105402213664 is 466312204501.

It is a super-2 number, since 2×105402213664² (a number of 23 digits) contains 22 as substring.

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, 149718702 + ... + 149719405.

It is an arithmetic number, because the mean of its divisors is an integer number (9432300402).

Almost surely, 2^105402213664 is an apocalyptic number.

It is an amenable number.

105402213664 is an abundant number, since it is smaller than the sum of its proper divisors (120972995984).

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

105402213664 is a wasteful number, since it uses less digits than its factorization.

105402213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299438128 (or 299438120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 105402213664 in words is "one hundred five billion, four hundred two million, two hundred thirteen thousand, six hundred sixty-four".