100498118765625 has 945 divisors, whose sum is σ = 233877644003619. Its totient is φ = 42874385400000.

The previous prime is 100498118765599. The next prime is 100498118765657. The reversal of 100498118765625 is 526567811894001.

The square root of 100498118765625 is 10024875.

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

100498118765625 is a `hidden beast` number, since 1 + 0 + 0 + 498 + 1 + 1 + 8 + 76 + 56 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 88045999858089 + 12452118907536 = 9383283^2 + 3528756^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is not a de Polignac number, because 100498118765625 - 2²⁵ = 100498085211193 is a prime.

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 944 ways as a sum of consecutive naturals, for example, 1499971921842 + ... + 1499971921908.

Almost surely, 2^{100498118765625} is an apocalyptic number.

100498118765625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100498118765625 is the 10024875-th square number.

100498118765625 is the 5012438-th centered octagonal number.

It is an amenable number.

100498118765625 is an abundant number, since it is smaller than the sum of its proper divisors (133379525237994).

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

100498118765625 is an frugal number, since it uses more digits than its factorization.

100498118765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 100498118765625 in words is "one hundred trillion, four hundred ninety-eight billion, one hundred eighteen million, seven hundred sixty-five thousand, six hundred twenty-five".