105657390450590 has 128 divisors (see below), whose sum is σ = 214328433825792. Its totient is φ = 37168853944320.

The previous prime is 105657390450589. The next prime is 105657390450613. The reversal of 105657390450590 is 95054093756501.

105657390450590 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 2×105657390450590² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 760509812 + ... + 760648728.

It is an arithmetic number, because the mean of its divisors is an integer number (1674440889264).

Almost surely, 2^{105657390450590} is an apocalyptic number.

105657390450590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105657390450590 is an abundant number, since it is smaller than the sum of its proper divisors (108671043375202).

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

105657390450590 is a wasteful number, since it uses less digits than its factorization.

105657390450590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140514.

The product of its (nonzero) digits is 25515000, while the sum is 59.

The spelling of 105657390450590 in words is "one hundred five trillion, six hundred fifty-seven billion, three hundred ninety million, four hundred fifty thousand, five hundred ninety".