105377472200 has 576 divisors, whose sum is σ = 335249376000. Its totient is φ = 29971814400.

The previous prime is 105377472191. The next prime is 105377472247. The reversal of 105377472200 is 2274773501.

It is a super-2 number, since 2×105377472200² (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 143 ways as a sum of consecutive naturals, for example, 240039581 + ... + 240040019.

Almost surely, 2^105377472200 is an apocalyptic number.

105377472200 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 105377472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167624688000).

105377472200 is an abundant number, since it is smaller than the sum of its proper divisors (229871903800).

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

105377472200 is a wasteful number, since it uses less digits than its factorization.

105377472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The spelling of 105377472200 in words is "one hundred five billion, three hundred seventy-seven million, four hundred seventy-two thousand, two hundred".