101429753 has 2 divisors, whose sum is σ = 101429754. Its totient is φ = 101429752.

The previous prime is 101429743. The next prime is 101429761. The reversal of 101429753 is 357924101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101344489 + 85264 = 10067^2 + 292^2 .

It is a cyclic number.

It is not a de Polignac number, because 101429753 - 2¹² = 101425657 is a prime.

It is not a weakly prime, because it can be changed into another prime (101429743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50714876 + 50714877.

It is an arithmetic number, because the mean of its divisors is an integer number (50714877).

Almost surely, 2^101429753 is an apocalyptic number.

It is an amenable number.

101429753 is a deficient number, since it is larger than the sum of its proper divisors (1).

101429753 is an equidigital number, since it uses as much as digits as its factorization.

101429753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 101429753 is about 10071.2339363158. The cubic root of 101429753 is about 466.3605322689.

The spelling of 101429753 in words is "one hundred one million, four hundred twenty-nine thousand, seven hundred fifty-three".