10374552100 has 108 divisors (see below), whose sum is σ = 25415342932. Its totient is φ = 3670444800.

The previous prime is 10374552091. The next prime is 10374552119. The reversal of 10374552100 is 125547301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 664814656 + 9709737444 = 25784^2 + 98538^2 .

It is a super-2 number, since 2×10374552100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436114 + ... + 459286.

Almost surely, 2^10374552100 is an apocalyptic number.

10374552100 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 10374552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707671466).

10374552100 is an abundant number, since it is smaller than the sum of its proper divisors (15040790832).

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

10374552100 is a wasteful number, since it uses less digits than its factorization.

10374552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23246 (or 23228 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 10374552100 in words is "ten billion, three hundred seventy-four million, five hundred fifty-two thousand, one hundred".