106295610624 has 432 divisors, whose sum is σ = 346459373568. Its totient is φ = 28791189504.

The previous prime is 106295610593. The next prime is 106295610671. The reversal of 106295610624 is 426016592601.

It is a super-2 number, since 2×106295610624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 109922589 + ... + 109923555.

Almost surely, 2^106295610624 is an apocalyptic number.

106295610624 is a gapful number since it is divisible by the number (14) 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 106295610624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173229686784).

106295610624 is an abundant number, since it is smaller than the sum of its proper divisors (240163762944).

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

106295610624 is a wasteful number, since it uses less digits than its factorization.

106295610624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 106295610624 in words is "one hundred six billion, two hundred ninety-five million, six hundred ten thousand, six hundred twenty-four".