102126996 has 18 divisors (see below), whose sum is σ = 258154442. Its totient is φ = 34042320.

The previous prime is 102126991. The next prime is 102127001. The reversal of 102126996 is 699621201.

It is an interprime number because it is at equal distance from previous prime (102126991) and next prime (102127001).

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 1726596 = 10020^2 + 1314^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2836861 = 102126996 / (1 + 0 + 2 + 1 + 2 + 6 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 102126996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102126991) 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, 1418395 + ... + 1418466.

Almost surely, 2^102126996 is an apocalyptic number.

It is an amenable number.

102126996 is an abundant number, since it is smaller than the sum of its proper divisors (156027446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102126996 is a wasteful number, since it uses less digits than its factorization.

102126996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836871 (or 2836866 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 102126996 is about 10105.7902214523. The cubic root of 102126996 is about 467.4267032180.

The spelling of 102126996 in words is "one hundred two million, one hundred twenty-six thousand, nine hundred ninety-six".