100029974 has 32 divisors (see below), whose sum is σ = 168389280. Its totient is φ = 44547360.

The previous prime is 100029971. The next prime is 100029977. The reversal of 100029974 is 479920001.

It is an interprime number because it is at equal distance from previous prime (100029971) and next prime (100029977).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100029974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100029971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140732 + ... + 141440.

It is an arithmetic number, because the mean of its divisors is an integer number (5262165).

Almost surely, 2^100029974 is an apocalyptic number.

100029974 is a deficient number, since it is larger than the sum of its proper divisors (68359306).

100029974 is an equidigital number, since it uses as much as digits as its factorization.

100029974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 100029974 is about 10001.4985877117. The cubic root of 100029974 is about 464.2052543897.

Adding to 100029974 its reverse (479920001), we get a palindrome (579949975).

The spelling of 100029974 in words is "one hundred million, twenty-nine thousand, nine hundred seventy-four".