100623970322500 has 135 divisors (see below), whose sum is σ = 221030533517409. Its totient is φ = 40070030544000.

The previous prime is 100623970322431. The next prime is 100623970322539. The reversal of 100623970322500 is 5223079326001.

The square root of 100623970322500 is 10031150.

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

It can be written as a sum of positive squares in 7 ways, for example, as 37848900405316 + 62775069917184 = 6152146^2 + 7923072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 220183742272 + ... + 220183742728.

Almost surely, 2^{100623970322500} is an apocalyptic number.

100623970322500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100623970322500 is the 10031150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100623970322500

100623970322500 is an abundant number, since it is smaller than the sum of its proper divisors (120406563194909).

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

100623970322500 is an frugal number, since it uses more digits than its factorization.

100623970322500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 100623970322500 in words is "one hundred trillion, six hundred twenty-three billion, nine hundred seventy million, three hundred twenty-two thousand, five hundred".