100193964 has 48 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 30320640.

The previous prime is 100193959. The next prime is 100194023. The reversal of 100193964 is 469391001.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4252 + ... + 14780.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2^100193964 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 100193964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

100193964 is an abundant number, since it is smaller than the sum of its proper divisors (155727156).

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

100193964 is a wasteful number, since it uses less digits than its factorization.

100193964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10610 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 100193964 is about 10009.6935018011. The cubic root of 100193964 is about 464.4587899200.

The spelling of 100193964 in words is "one hundred million, one hundred ninety-three thousand, nine hundred sixty-four".