10106915616 has 720 divisors, whose sum is σ = 38042307072. Its totient is φ = 2612736000.

The previous prime is 10106915591. The next prime is 10106915681. The reversal of 10106915616 is 61651960101.

10106915616 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 91 + 561 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66933141 + ... + 66933291.

Almost surely, 2^10106915616 is an apocalyptic number.

10106915616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106915616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19021153536).

10106915616 is an abundant number, since it is smaller than the sum of its proper divisors (27935391456).

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

10106915616 is a wasteful number, since it uses less digits than its factorization.

10106915616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 10106915616 in words is "ten billion, one hundred six million, nine hundred fifteen thousand, six hundred sixteen".