10102942080 has 640 divisors, whose sum is σ = 44999919360. Its totient is φ = 2098483200.

The previous prime is 10102942037. The next prime is 10102942117. The reversal of 10102942080 is 8024920101.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990415 + ... + 3992945.

It is an arithmetic number, because the mean of its divisors is an integer number (70312374).

Almost surely, 2^10102942080 is an apocalyptic number.

10102942080 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 10102942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499959680).

10102942080 is an abundant number, since it is smaller than the sum of its proper divisors (34896977280).

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

10102942080 is a wasteful number, since it uses less digits than its factorization.

10102942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10102942080 in words is "ten billion, one hundred two million, nine hundred forty-two thousand, eighty".