10078152100 has 27 divisors (see below), whose sum is σ = 21871768737. Its totient is φ = 4030859280.

The previous prime is 10078152053. The next prime is 10078152107. The reversal of 10078152100 is 125187001.

The square root of 10078152100 is 100390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3628134756 + 6450017344 = 60234^2 + 80312^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10078152107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 998881 + ... + 1008919.

Almost surely, 2^10078152100 is an apocalyptic number.

10078152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10078152100 is the 100390-th square number.

It is an amenable number.

10078152100 is an abundant number, since it is smaller than the sum of its proper divisors (11793616637).

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

10078152100 is an frugal number, since it uses more digits than its factorization.

10078152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20092 (or 10046 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

Multiplying 10078152100 by its sum of digits (25), we get a square (251953802500 = 501950²).

10078152100 divided by its sum of digits (25) gives a square (403126084 = 20078²).

It can be divided in two parts, 100781 and 52100, that added together give a square (152881 = 391²).

The spelling of 10078152100 in words is "ten billion, seventy-eight million, one hundred fifty-two thousand, one hundred".