101104616400 has 240 divisors, whose sum is σ = 350134584000. Its totient is φ = 24851681280.

The previous prime is 101104616369. The next prime is 101104616411. The reversal of 101104616400 is 4616401101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×101104616400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783676 + ... + 903524.

It is an arithmetic number, because the mean of its divisors is an integer number (1458894100).

Almost surely, 2^101104616400 is an apocalyptic number.

101104616400 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 101104616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175067292000).

101104616400 is an abundant number, since it is smaller than the sum of its proper divisors (249029967600).

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

101104616400 is a wasteful number, since it uses less digits than its factorization.

101104616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119926 (or 119915 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 101104616400 in words is "one hundred one billion, one hundred four million, six hundred sixteen thousand, four hundred".