101629631 has 2 divisors, whose sum is σ = 101629632. Its totient is φ = 101629630.

The previous prime is 101629609. The next prime is 101629643. The reversal of 101629631 is 136926101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101629631 - 2¹⁰ = 101628607 is a prime.

It is a super-2 number, since 2×101629631² = 20657163794392322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101629594 and 101629603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101629681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50814815 + 50814816.

It is an arithmetic number, because the mean of its divisors is an integer number (50814816).

Almost surely, 2^101629631 is an apocalyptic number.

101629631 is a deficient number, since it is larger than the sum of its proper divisors (1).

101629631 is an equidigital number, since it uses as much as digits as its factorization.

101629631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 101629631 is about 10081.1522654903. The cubic root of 101629631 is about 466.6666687642. Note that the first 5 decimals are identical.

The spelling of 101629631 in words is "one hundred one million, six hundred twenty-nine thousand, six hundred thirty-one".