104953126656 has 432 divisors, whose sum is σ = 334737736704. Its totient is φ = 29178949632.

The previous prime is 104953126643. The next prime is 104953126673. The reversal of 104953126656 is 656621359401.

It is a super-2 number, since 2×104953126656² (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 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, 606665386 + ... + 606665558.

It is an arithmetic number, because the mean of its divisors is an integer number (774855872).

Almost surely, 2^104953126656 is an apocalyptic number.

104953126656 is a gapful number since it is divisible by the number (16) 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 104953126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167368868352).

104953126656 is an abundant number, since it is smaller than the sum of its proper divisors (229784610048).

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

104953126656 is an frugal number, since it uses more digits than its factorization.

104953126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 104953126656 in words is "one hundred four billion, nine hundred fifty-three million, one hundred twenty-six thousand, six hundred fifty-six".