105255654000 has 640 divisors, whose sum is σ = 402186829824. Its totient is φ = 23184000000.

The previous prime is 105255653989. The next prime is 105255654043. The reversal of 105255654000 is 456552501.

It is a super-2 number, since 2×105255654000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140153625 + ... + 140154375.

Almost surely, 2^105255654000 is an apocalyptic number.

105255654000 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 105255654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201093414912).

105255654000 is an abundant number, since it is smaller than the sum of its proper divisors (296931175824).

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

105255654000 is a wasteful number, since it uses less digits than its factorization.

105255654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 105255654000 in words is "one hundred five billion, two hundred fifty-five million, six hundred fifty-four thousand".