106105610550600 has 96 divisors (see below), whose sum is σ = 365474880804000. Its totient is φ = 28294829478720.

The previous prime is 106105610550587. The next prime is 106105610550617. The reversal of 106105610550600 is 6055016501601.

It is a super-2 number, since 2×106105610550600² (a number of 29 digits) contains 22 as substring.

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

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, 9824588170 + ... + 9824598969.

It is an arithmetic number, because the mean of its divisors is an integer number (3807030008375).

Almost surely, 2^{106105610550600} is an apocalyptic number.

106105610550600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105610550600 is an abundant number, since it is smaller than the sum of its proper divisors (259369270253400).

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

106105610550600 is a wasteful number, since it uses less digits than its factorization.

106105610550600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19649187164 (or 19649187149 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106105610550600 in words is "one hundred six trillion, one hundred five billion, six hundred ten million, five hundred fifty thousand, six hundred".