102090980929072 has 160 divisors (see below), whose sum is σ = 211243167571968. Its totient is φ = 47694598668288.

The previous prime is 102090980929061. The next prime is 102090980929079. The reversal of 102090980929072 is 270929089090201.

It is a junction number, because it is equal to n+sod(n) for n = 102090980928998 and 102090980929016.

It is not an unprimeable number, because it can be changed into a prime (102090980929079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489410033 + ... + 1489478575.

Almost surely, 2^{102090980929072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102090980929072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105621583785984).

102090980929072 is an abundant number, since it is smaller than the sum of its proper divisors (109152186642896).

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

102090980929072 is a wasteful number, since it uses less digits than its factorization.

102090980929072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69147 (or 69141 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 102090980929072 in words is "one hundred two trillion, ninety billion, nine hundred eighty million, nine hundred twenty-nine thousand, seventy-two".