105428987664 has 160 divisors (see below), whose sum is σ = 365683928064. Its totient is φ = 25277667840.

The previous prime is 105428987627. The next prime is 105428987701. The reversal of 105428987664 is 466789824501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105428987627) and next prime (105428987701).

It is a super-2 number, since 2×105428987664² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105428987598 and 105428987607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049074 + ... + 1145169.

Almost surely, 2^105428987664 is an apocalyptic number.

105428987664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105428987664 is an abundant number, since it is smaller than the sum of its proper divisors (260254940400).

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

105428987664 is a wasteful number, since it uses less digits than its factorization.

105428987664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194285 (or 2194279 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 105428987664 in words is "one hundred five billion, four hundred twenty-eight million, nine hundred eighty-seven thousand, six hundred sixty-four".