100095422752900 has 81 divisors (see below), whose sum is σ = 227066672326501. Its totient is φ = 38296498720480.

The previous prime is 100095422752783. The next prime is 100095422752903. The reversal of 100095422752900 is 9257224590001.

The square root of 100095422752900 is 10004770.

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., 36034352191044 + 64061070561856 = 6002862^2 + 8003816^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100095422752903) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2301075351 + ... + 2301118849.

Almost surely, 2^{100095422752900} is an apocalyptic number.

100095422752900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100095422752900 is the 10004770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100095422752900

100095422752900 is an abundant number, since it is smaller than the sum of its proper divisors (126971249573601).

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

100095422752900 is an frugal number, since it uses more digits than its factorization.

100095422752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87058 (or 43529 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 100095422752900 in words is "one hundred trillion, ninety-five billion, four hundred twenty-two million, seven hundred fifty-two thousand, nine hundred".