106200716600700 has 216 divisors, whose sum is σ = 356905198185200. Its totient is φ = 27088878072960.

The previous prime is 106200716600689. The next prime is 106200716600711. The reversal of 106200716600700 is 7006617002601.

106200716600700 is a `hidden beast` number, since 10 + 6 + 20 + 0 + 7 + 16 + 600 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106200716600689) and next prime (106200716600711).

It is a super-2 number, since 2×106200716600700² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35749015 + ... + 38605614.

Almost surely, 2^{106200716600700} is an apocalyptic number.

106200716600700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106200716600700 is an abundant number, since it is smaller than the sum of its proper divisors (250704481584500).

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

106200716600700 is a wasteful number, since it uses less digits than its factorization.

106200716600700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74354698 (or 74354662 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 106200716600700 in words is "one hundred six trillion, two hundred billion, seven hundred sixteen million, six hundred thousand, seven hundred".