106640487014400 has 1008 divisors, whose sum is σ = 402859490342400. Its totient is φ = 27954702581760.

The previous prime is 106640487014363. The next prime is 106640487014401. The reversal of 106640487014400 is 4410784046601.

106640487014400 is a `hidden beast` number, since 1 + 0 + 66 + 40 + 48 + 70 + 1 + 440 + 0 = 666.

It is a super-2 number, since 2×106640487014400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106640487014401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2936199441 + ... + 2936235759.

It is an arithmetic number, because the mean of its divisors is an integer number (399662192800).

Almost surely, 2^{106640487014400} is an apocalyptic number.

106640487014400 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 106640487014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201429745171200).

106640487014400 is an abundant number, since it is smaller than the sum of its proper divisors (296219003328000).

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

106640487014400 is an frugal number, since it uses more digits than its factorization.

106640487014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36429 (or 36388 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 106640487014400 in words is "one hundred six trillion, six hundred forty billion, four hundred eighty-seven million, fourteen thousand, four hundred".