106439731200 has 1296 divisors, whose sum is σ = 442487616480. Its totient is φ = 24384307200.

The previous prime is 106439731183. The next prime is 106439731231. The reversal of 106439731200 is 2137934601.

106439731200 is a `hidden beast` number, since 1 + 0 + 64 + 397 + 3 + 1 + 200 = 666.

It is a super-2 number, since 2×106439731200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1282406359 + ... + 1282406441.

It is an arithmetic number, because the mean of its divisors is an integer number (341425630).

Almost surely, 2^106439731200 is an apocalyptic number.

106439731200 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 106439731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221243808240).

106439731200 is an abundant number, since it is smaller than the sum of its proper divisors (336047885280).

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

106439731200 is a wasteful number, since it uses less digits than its factorization.

106439731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 106439731200 in words is "one hundred six billion, four hundred thirty-nine million, seven hundred thirty-one thousand, two hundred".