106886545920 has 1920 divisors, whose sum is σ = 510524467200. Its totient is φ = 20901888000.

The previous prime is 106886545919. The next prime is 106886545937. The reversal of 106886545920 is 29545688601.

106886545920 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 6 + 545 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×106886545920² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 707857845 + ... + 707857995.

It is an arithmetic number, because the mean of its divisors is an integer number (265898160).

Almost surely, 2^106886545920 is an apocalyptic number.

106886545920 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 106886545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255262233600).

106886545920 is an abundant number, since it is smaller than the sum of its proper divisors (403637921280).

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

106886545920 is a wasteful number, since it uses less digits than its factorization.

106886545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 106886545920 in words is "one hundred six billion, eight hundred eighty-six million, five hundred forty-five thousand, nine hundred twenty".