106975411200 has 792 divisors, whose sum is σ = 460911035520. Its totient is φ = 23157964800.

The previous prime is 106975411171. The next prime is 106975411237. The reversal of 106975411200 is 2114579601.

106975411200 is a `hidden beast` number, since 1 + 0 + 6 + 97 + 541 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×106975411200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30641455 + ... + 30644945.

Almost surely, 2^106975411200 is an apocalyptic number.

106975411200 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 106975411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230455517760).

106975411200 is an abundant number, since it is smaller than the sum of its proper divisors (353935624320).

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

106975411200 is a wasteful number, since it uses less digits than its factorization.

106975411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 106975411200 in words is "one hundred six billion, nine hundred seventy-five million, four hundred eleven thousand, two hundred".