106489695600 has 420 divisors, whose sum is σ = 387285129576. Its totient is φ = 28123614720.

The previous prime is 106489695581. The next prime is 106489695619. The reversal of 106489695600 is 6596984601.

It is a happy number.

106489695600 is a `hidden beast` number, since 10 + 6 + 4 + 8 + 9 + 69 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106489695581) and next prime (106489695619).

It is a super-2 number, since 2×106489695600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 83 ways as a sum of consecutive naturals, for example, 31199494 + ... + 31202906.

Almost surely, 2^106489695600 is an apocalyptic number.

106489695600 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 106489695600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193642564788).

106489695600 is an abundant number, since it is smaller than the sum of its proper divisors (280795433976).

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

106489695600 is a wasteful number, since it uses less digits than its factorization.

106489695600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 106489695600 in words is "one hundred six billion, four hundred eighty-nine million, six hundred ninety-five thousand, six hundred".