106734377407100 has 72 divisors (see below), whose sum is σ = 243969534950400. Its totient is φ = 40419214315200.

The previous prime is 106734377407061. The next prime is 106734377407121. The reversal of 106734377407100 is 1704773437601.

It is a super-2 number, since 2×106734377407100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16299590 + ... + 21889389.

It is an arithmetic number, because the mean of its divisors is an integer number (3388465763200).

Almost surely, 2^{106734377407100} is an apocalyptic number.

106734377407100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106734377407100 is an abundant number, since it is smaller than the sum of its proper divisors (137235157543300).

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

106734377407100 is a wasteful number, since it uses less digits than its factorization.

106734377407100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38190483 (or 38190476 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 50.

The spelling of 106734377407100 in words is "one hundred six trillion, seven hundred thirty-four billion, three hundred seventy-seven million, four hundred seven thousand, one hundred".