105370427376 has 120 divisors (see below), whose sum is σ = 299959457616. Its totient is φ = 34523089920.

The previous prime is 105370427329. The next prime is 105370427401. The reversal of 105370427376 is 673724073501.

105370427376 is a `hidden beast` number, since 1 + 0 + 5 + 370 + 4 + 273 + 7 + 6 = 666.

It is a super-2 number, since 2×105370427376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3062911 + ... + 3097121.

Almost surely, 2^105370427376 is an apocalyptic number.

105370427376 is a gapful number since it is divisible by the number (16) 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 105370427376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149979728808).

105370427376 is an abundant number, since it is smaller than the sum of its proper divisors (194589030240).

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

105370427376 is a wasteful number, since it uses less digits than its factorization.

105370427376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34591 (or 34582 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 105370427376 in words is "one hundred five billion, three hundred seventy million, four hundred twenty-seven thousand, three hundred seventy-six".