106867172966400 has 4536 divisors, whose sum is σ = 510335181551664. Its totient is φ = 21938621644800.

The previous prime is 106867172966387. The next prime is 106867172966419. The reversal of 106867172966400 is 4669271768601.

It is a happy number.

106867172966400 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 6 + 71 + 72 + 96 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×106867172966400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1287556300759 + ... + 1287556300841.

It is an arithmetic number, because the mean of its divisors is an integer number (112507756074).

Almost surely, 2^{106867172966400} is an apocalyptic number.

106867172966400 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 106867172966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255167590775832).

106867172966400 is an abundant number, since it is smaller than the sum of its proper divisors (403468008585264).

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

106867172966400 is an frugal number, since it uses more digits than its factorization.

106867172966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 106867172966400 in words is "one hundred six trillion, eight hundred sixty-seven billion, one hundred seventy-two million, nine hundred sixty-six thousand, four hundred".