102951137 has 2 divisors, whose sum is σ = 102951138. Its totient is φ = 102951136.

The previous prime is 102951127. The next prime is 102951143. The reversal of 102951137 is 731159201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54523456 + 48427681 = 7384^2 + 6959^2 .

It is a cyclic number.

It is not a de Polignac number, because 102951137 - 2¹⁴ = 102934753 is a prime.

It is not a weakly prime, because it can be changed into another prime (102951127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51475568 + 51475569.

It is an arithmetic number, because the mean of its divisors is an integer number (51475569).

Almost surely, 2^102951137 is an apocalyptic number.

It is an amenable number.

102951137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102951137 is an equidigital number, since it uses as much as digits as its factorization.

102951137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 102951137 is about 10146.4839722931. The cubic root of 102951137 is about 468.6806775826.

The spelling of 102951137 in words is "one hundred two million, nine hundred fifty-one thousand, one hundred thirty-seven".