59492088100 has 27 divisors (see below), whose sum is σ = 129103124241. Its totient is φ = 23795859600.

The previous prime is 59492088079. The next prime is 59492088107. The reversal of 59492088100 is 188029495.

The square root of 59492088100 is 243910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21417151716 + 38074936384 = 146346^2 + 195128^2 .

It is a super-2 number, since 2×59492088100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59492088107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2426905 + ... + 2451295.

Almost surely, 2^59492088100 is an apocalyptic number.

59492088100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59492088100 is the 243910-th square number.

It is an amenable number.

59492088100 is an abundant number, since it is smaller than the sum of its proper divisors (69611036141).

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

59492088100 is an frugal number, since it uses more digits than its factorization.

59492088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48796 (or 24398 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 59492088100 in words is "fifty-nine billion, four hundred ninety-two million, eighty-eight thousand, one hundred".