10153975104 has 448 divisors, whose sum is σ = 37942804480. Its totient is φ = 2590341120.

The previous prime is 10153975093. The next prime is 10153975109. The reversal of 10153975104 is 40157935101.

It is a happy number.

10153975104 is a `hidden beast` number, since 1 + 0 + 1 + 53 + 97 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153975109) 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, 4873647 + ... + 4875729.

It is an arithmetic number, because the mean of its divisors is an integer number (84693760).

Almost surely, 2^10153975104 is an apocalyptic number.

10153975104 is a gapful number since it is divisible by the number (14) 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 10153975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971402240).

10153975104 is an abundant number, since it is smaller than the sum of its proper divisors (27788829376).

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

10153975104 is a wasteful number, since it uses less digits than its factorization.

10153975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10153975104 in words is "ten billion, one hundred fifty-three million, nine hundred seventy-five thousand, one hundred four".