105997880031465 has 64 divisors (see below), whose sum is σ = 170209073479680. Its totient is φ = 56328514663680.

The previous prime is 105997880031427. The next prime is 105997880031493. The reversal of 105997880031465 is 564130088799501.

It is not a de Polignac number, because 105997880031465 - 2⁹ = 105997880030953 is a prime.

It is a super-2 number, since 2×105997880031465² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105997880031396 and 105997880031405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13978353064 + ... + 13978360646.

It is an arithmetic number, because the mean of its divisors is an integer number (2659516773120).

Almost surely, 2^{105997880031465} is an apocalyptic number.

105997880031465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105997880031465 is a deficient number, since it is larger than the sum of its proper divisors (64211193448215).

105997880031465 is a wasteful number, since it uses less digits than its factorization.

105997880031465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014.

The product of its (nonzero) digits is 65318400, while the sum is 66.

The spelling of 105997880031465 in words is "one hundred five trillion, nine hundred ninety-seven billion, eight hundred eighty million, thirty-one thousand, four hundred sixty-five".