10106278358400 has 576 divisors, whose sum is σ = 41888839106400. Its totient is φ = 2272134758400.

The previous prime is 10106278358381. The next prime is 10106278358411. The reversal of 10106278358400 is 485387260101.

10106278358400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 62 + 7 + 8 + 3 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11886696 + ... + 12708504.

Almost surely, 2^{10106278358400} is an apocalyptic number.

10106278358400 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 10106278358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20944419553200).

10106278358400 is an abundant number, since it is smaller than the sum of its proper divisors (31782560748000).

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

10106278358400 is a wasteful number, since it uses less digits than its factorization.

10106278358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821907 (or 821887 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10106278358400 in words is "ten trillion, one hundred six billion, two hundred seventy-eight million, three hundred fifty-eight thousand, four hundred".