100964002248 has 36 divisors (see below), whose sum is σ = 273451475115. Its totient is φ = 33653768688.

The previous prime is 100964002189. The next prime is 100964002253. The reversal of 100964002248 is 842200469001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

100964002248 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 6 + 400 + 2 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50482001124 + 50482001124 = 224682^2 + 224682^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2677461 + ... + 2714907.

Almost surely, 2^100964002248 is an apocalyptic number.

100964002248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100964002248 is an abundant number, since it is smaller than the sum of its proper divisors (172487472867).

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

100964002248 is an frugal number, since it uses more digits than its factorization.

100964002248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74906 (or 37452 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 100964002248 in words is "one hundred billion, nine hundred sixty-four million, two thousand, two hundred forty-eight".