10106132400 has 1080 divisors, whose sum is σ = 45710310960. Its totient is φ = 2113413120.

The previous prime is 10106132383. The next prime is 10106132411. The reversal of 10106132400 is 423160101.

It is a happy number.

10106132400 is a `hidden beast` number, since 1 + 0 + 10 + 613 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 89434744 + ... + 89434856.

It is an arithmetic number, because the mean of its divisors is an integer number (42324362).

Almost surely, 2^10106132400 is an apocalyptic number.

10106132400 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 10106132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855155480).

10106132400 is an abundant number, since it is smaller than the sum of its proper divisors (35604178560).

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

10106132400 is a wasteful number, since it uses less digits than its factorization.

10106132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10106132400 its reverse (423160101), we get a palindrome (10529292501).

The spelling of 10106132400 in words is "ten billion, one hundred six million, one hundred thirty-two thousand, four hundred".