100354952 has 32 divisors (see below), whose sum is σ = 194344920. Its totient is φ = 48545280.

The previous prime is 100354951. The next prime is 100354997. The reversal of 100354952 is 259453001.

It can be written as a sum of positive squares in 4 ways, for example, as 92659876 + 7695076 = 9626^2 + 2774^2 .

It is a super-2 number, since 2×100354952² = 20142232781844608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100354951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57452 + ... + 59172.

Almost surely, 2^100354952 is an apocalyptic number.

It is an amenable number.

100354952 is a deficient number, since it is larger than the sum of its proper divisors (93989968).

100354952 is a wasteful number, since it uses less digits than its factorization.

100354952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 100354952 is about 10017.7318790233. The cubic root of 100354952 is about 464.7074152772.

It can be divided in two parts, 1003 and 54952, that added together give a palindrome (55955).

The spelling of 100354952 in words is "one hundred million, three hundred fifty-four thousand, nine hundred fifty-two".