10106059392 has 512 divisors, whose sum is σ = 35540064000. Its totient is φ = 2826869760.

The previous prime is 10106059387. The next prime is 10106059399. The reversal of 10106059392 is 29395060101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10106059392 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 60 + 593 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10106059399) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777389178 + ... + 777389190.

Almost surely, 2^10106059392 is an apocalyptic number.

10106059392 is a gapful number since it is divisible by the number (12) 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 10106059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17770032000).

10106059392 is an abundant number, since it is smaller than the sum of its proper divisors (25434004608).

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

10106059392 is an frugal number, since it uses more digits than its factorization.

10106059392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 10106059392 in words is "ten billion, one hundred six million, fifty-nine thousand, three hundred ninety-two".