105370542368 has 144 divisors (see below), whose sum is σ = 262314448704. Its totient is φ = 41294615040.

The previous prime is 105370542359. The next prime is 105370542371. The reversal of 105370542368 is 863245073501.

It is a super-2 number, since 2×105370542368² (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 23 ways as a sum of consecutive naturals, for example, 2156933 + ... + 2205243.

It is an arithmetic number, because the mean of its divisors is an integer number (1821628116).

Almost surely, 2^105370542368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105370542368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131157224352).

105370542368 is an abundant number, since it is smaller than the sum of its proper divisors (156943906336).

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

105370542368 is a wasteful number, since it uses less digits than its factorization.

105370542368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48455 (or 48440 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 105370542368 in words is "one hundred five billion, three hundred seventy million, five hundred forty-two thousand, three hundred sixty-eight".