105377390899200 has 1092 divisors, whose sum is σ = 447747158842288. Its totient is φ = 24086141337600.

The previous prime is 105377390899091. The next prime is 105377390899211. The reversal of 105377390899200 is 2998093773501.

105377390899200 is a `hidden beast` number, since 1 + 0 + 5 + 37 + 7 + 390 + 8 + 9 + 9 + 200 = 666.

105377390899200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105377390899200² (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 83 ways as a sum of consecutive naturals, for example, 522446370 + ... + 522648030.

Almost surely, 2^{105377390899200} is an apocalyptic number.

105377390899200 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 105377390899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223873579421144).

105377390899200 is an abundant number, since it is smaller than the sum of its proper divisors (342369767943088).

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

105377390899200 is an frugal number, since it uses more digits than its factorization.

105377390899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201720 (or 201678 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 105377390899200 in words is "one hundred five trillion, three hundred seventy-seven billion, three hundred ninety million, eight hundred ninety-nine thousand, two hundred".