10119876900 has 324 divisors, whose sum is σ = 35966479248. Its totient is φ = 2190222720.

The previous prime is 10119876847. The next prime is 10119876911. The reversal of 10119876900 is 967891101.

It is a super-2 number, since 2×10119876900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5305747 + ... + 5307653.

It is an arithmetic number, because the mean of its divisors is an integer number (111007652).

Almost surely, 2^10119876900 is an apocalyptic number.

10119876900 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 10119876900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983239624).

10119876900 is an abundant number, since it is smaller than the sum of its proper divisors (25846602348).

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

10119876900 is a wasteful number, since it uses less digits than its factorization.

10119876900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The spelling of 10119876900 in words is "ten billion, one hundred nineteen million, eight hundred seventy-six thousand, nine hundred".