102275631100 has 72 divisors (see below), whose sum is σ = 230033558160. Its totient is φ = 39423444480.

The previous prime is 102275631097. The next prime is 102275631103. The reversal of 102275631100 is 1136572201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102275631097) and next prime (102275631103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102275631103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482984 + ... + 1550416.

It is an arithmetic number, because the mean of its divisors is an integer number (3194910530).

Almost surely, 2^102275631100 is an apocalyptic number.

102275631100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102275631100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115016779080).

102275631100 is an abundant number, since it is smaller than the sum of its proper divisors (127757927060).

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

102275631100 is a wasteful number, since it uses less digits than its factorization.

102275631100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67999 (or 67992 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 102275631100 in words is "one hundred two billion, two hundred seventy-five million, six hundred thirty-one thousand, one hundred".