105089619965616 has 240 divisors, whose sum is σ = 353949299357472. Its totient is φ = 28678729420800.

The previous prime is 105089619965599. The next prime is 105089619965621. The reversal of 105089619965616 is 616569916980501.

105089619965616 is a `hidden beast` number, since 1 + 0 + 50 + 8 + 9 + 6 + 1 + 9 + 9 + 6 + 561 + 6 = 666.

105089619965616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105089619965616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61392555 + ... + 63081098.

Almost surely, 2^{105089619965616} is an apocalyptic number.

105089619965616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105089619965616 is an abundant number, since it is smaller than the sum of its proper divisors (248859679391856).

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

105089619965616 is a wasteful number, since it uses less digits than its factorization.

105089619965616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124473732 (or 124473723 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 72.

The spelling of 105089619965616 in words is "one hundred five trillion, eighty-nine billion, six hundred nineteen million, nine hundred sixty-five thousand, six hundred sixteen".