100416103225 has 9 divisors (see below), whose sum is σ = 124517932717. Its totient is φ = 80331615040.

The previous prime is 100416103181. The next prime is 100416103231. The reversal of 100416103225 is 522301614001.

It is a happy number.

The square root of 100416103225 is 316885.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49211654569 + 51204448656 = 221837^2 + 226284^2 .

It is not a de Polignac number, because 100416103225 - 2¹³ = 100416095033 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100416103225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1552737 + ... + 1616113.

Almost surely, 2^100416103225 is an apocalyptic number.

100416103225 is the 316885-th square number.

100416103225 is the 158443-rd centered octagonal number.

It is an amenable number.

100416103225 is a deficient number, since it is larger than the sum of its proper divisors (24101829492).

100416103225 is an frugal number, since it uses more digits than its factorization.

100416103225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126764 (or 63382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 100416103225 by its sum of digits (25), we get a square (2510402580625 = 1584425²).

100416103225 divided by its sum of digits (25) gives a square (4016644129 = 63377²).

Adding to 100416103225 its reverse (522301614001), we get a palindrome (622717717226).

The spelling of 100416103225 in words is "one hundred billion, four hundred sixteen million, one hundred three thousand, two hundred twenty-five".