100400749 has 2 divisors, whose sum is σ = 100400750. Its totient is φ = 100400748.

The previous prime is 100400747. The next prime is 100400791. The reversal of 100400749 is 947004001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57078025 + 43322724 = 7555^2 + 6582^2 .

It is a cyclic number.

It is not a de Polignac number, because 100400749 - 2¹ = 100400747 is a prime.

It is a super-2 number, since 2×100400749² = 20160620799522002, which contains 22 as substring.

Together with 100400747, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100400747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200374 + 50200375.

It is an arithmetic number, because the mean of its divisors is an integer number (50200375).

Almost surely, 2^100400749 is an apocalyptic number.

It is an amenable number.

100400749 is a deficient number, since it is larger than the sum of its proper divisors (1).

100400749 is an equidigital number, since it uses as much as digits as its factorization.

100400749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100400749 is about 10020.0174151545. The cubic root of 100400749 is about 464.7780942971.

The spelling of 100400749 in words is "one hundred million, four hundred thousand, seven hundred forty-nine".