100137629 has 2 divisors, whose sum is σ = 100137630. Its totient is φ = 100137628.

The previous prime is 100137601. The next prime is 100137637. The reversal of 100137629 is 926731001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98049604 + 2088025 = 9902^2 + 1445^2 .

It is a cyclic number.

It is not a de Polignac number, because 100137629 - 2¹² = 100133533 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100137529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50068814 + 50068815.

It is an arithmetic number, because the mean of its divisors is an integer number (50068815).

Almost surely, 2^100137629 is an apocalyptic number.

It is an amenable number.

100137629 is a deficient number, since it is larger than the sum of its proper divisors (1).

100137629 is an equidigital number, since it uses as much as digits as its factorization.

100137629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 100137629 is about 10006.8790839102. The cubic root of 100137629 is about 464.3717248238.

The spelling of 100137629 in words is "one hundred million, one hundred thirty-seven thousand, six hundred twenty-nine".