106959014400 has 480 divisors, whose sum is σ = 409904478720. Its totient is φ = 24078827520.

The previous prime is 106959014381. The next prime is 106959014411. The reversal of 106959014400 is 4410959601.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106959014400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18006631 + ... + 18012569.

It is an arithmetic number, because the mean of its divisors is an integer number (853967664).

Almost surely, 2^106959014400 is an apocalyptic number.

106959014400 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 106959014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204952239360).

106959014400 is an abundant number, since it is smaller than the sum of its proper divisors (302945464320).

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

106959014400 is an equidigital number, since it uses as much as digits as its factorization.

106959014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 106959014400 in words is "one hundred six billion, nine hundred fifty-nine million, fourteen thousand, four hundred".