102167401 has 6 divisors (see below), whose sum is σ = 118847850. Its totient is φ = 87572016.

The previous prime is 102167383. The next prime is 102167419. The reversal of 102167401 is 104761201.

It is an interprime number because it is at equal distance from previous prime (102167383) and next prime (102167419).

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 561001 = 10080^2 + 749^2 .

It is not a de Polignac number, because 102167401 - 2¹³ = 102159209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102161401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1042476 + ... + 1042573.

It is an arithmetic number, because the mean of its divisors is an integer number (19807975).

Almost surely, 2^102167401 is an apocalyptic number.

It is an amenable number.

102167401 is a deficient number, since it is larger than the sum of its proper divisors (16680449).

102167401 is an equidigital number, since it uses as much as digits as its factorization.

102167401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085063 (or 2085056 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 102167401 is about 10107.7891252242. The cubic root of 102167401 is about 467.4883385235.

The spelling of 102167401 in words is "one hundred two million, one hundred sixty-seven thousand, four hundred one".