106156430560 has 48 divisors (see below), whose sum is σ = 255526560576. Its totient is φ = 41661388288.

The previous prime is 106156430551. The next prime is 106156430591. The reversal of 106156430560 is 65034651601.

It is a super-2 number, since 2×106156430560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6250744 + ... + 6267703.

It is an arithmetic number, because the mean of its divisors is an integer number (5323470012).

Almost surely, 2^106156430560 is an apocalyptic number.

106156430560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106156430560 is an abundant number, since it is smaller than the sum of its proper divisors (149370130016).

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

106156430560 is a wasteful number, since it uses less digits than its factorization.

106156430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518515 (or 12518507 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 106156430560 in words is "one hundred six billion, one hundred fifty-six million, four hundred thirty thousand, five hundred sixty".