100414052 has 24 divisors (see below), whose sum is σ = 179597880. Its totient is φ = 49109760.

The previous prime is 100414049. The next prime is 100414079. The reversal of 100414052 is 250414001.

It can be written as a sum of positive squares in 4 ways, for example, as 34739236 + 65674816 = 5894^2 + 8104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100414052.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47024 + ... + 49112.

It is an arithmetic number, because the mean of its divisors is an integer number (7483245).

Almost surely, 2^100414052 is an apocalyptic number.

It is an amenable number.

100414052 is a deficient number, since it is larger than the sum of its proper divisors (79183828).

100414052 is a wasteful number, since it uses less digits than its factorization.

100414052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 100414052 is about 10020.6812143686. The cubic root of 100414052 is about 464.7986209365.

Adding to 100414052 its reverse (250414001), we get a palindrome (350828053).

The spelling of 100414052 in words is "one hundred million, four hundred fourteen thousand, fifty-two".