105007742016 has 112 divisors (see below), whose sum is σ = 299257516800. Its totient is φ = 32389120512.

The previous prime is 105007741991. The next prime is 105007742057. The reversal of 105007742016 is 610247700501.

It is a super-2 number, since 2×105007742016² (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 15 ways as a sum of consecutive naturals, for example, 177846 + ... + 491573.

Almost surely, 2^105007742016 is an apocalyptic number.

105007742016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105007742016 is an abundant number, since it is smaller than the sum of its proper divisors (194249774784).

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

105007742016 is a wasteful number, since it uses less digits than its factorization.

105007742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669496 (or 669486 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 105007742016 in words is "one hundred five billion, seven million, seven hundred forty-two thousand, sixteen".