104995765200 has 120 divisors (see below), whose sum is σ = 336960211936. Its totient is φ = 27946944000.

The previous prime is 104995765159. The next prime is 104995765213. The reversal of 104995765200 is 2567599401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×104995765200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 104995765200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568335 + ... + 730065.

Almost surely, 2^104995765200 is an apocalyptic number.

104995765200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104995765200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480105968).

104995765200 is an abundant number, since it is smaller than the sum of its proper divisors (231964446736).

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

104995765200 is a wasteful number, since it uses less digits than its factorization.

104995765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162293 (or 162282 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 104995765200 in words is "one hundred four billion, nine hundred ninety-five million, seven hundred sixty-five thousand, two hundred".