106337074700 has 72 divisors (see below), whose sum is σ = 239090790960. Its totient is φ = 41024838400.

The previous prime is 106337074687. The next prime is 106337074709. The reversal of 106337074700 is 7470733601.

It is a super-2 number, since 2×106337074700² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106337074709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142670 + ... + 482730.

It is an arithmetic number, because the mean of its divisors is an integer number (3320705430).

Almost surely, 2^106337074700 is an apocalyptic number.

106337074700 is a gapful number since it is divisible by the number (10) 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 106337074700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119545395480).

106337074700 is an abundant number, since it is smaller than the sum of its proper divisors (132753716260).

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

106337074700 is a wasteful number, since it uses less digits than its factorization.

106337074700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340187 (or 340180 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 38.

The spelling of 106337074700 in words is "one hundred six billion, three hundred thirty-seven million, seventy-four thousand, seven hundred".