101902080 has 288 divisors, whose sum is σ = 395587584. Its totient is φ = 21823488.

The previous prime is 101902069. The next prime is 101902091. The reversal of 101902080 is 80209101.

It is an interprime number because it is at equal distance from previous prime (101902069) and next prime (101902091).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456849 + ... + 457071.

It is an arithmetic number, because the mean of its divisors is an integer number (1373568).

Almost surely, 2^101902080 is an apocalyptic number.

101902080 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 101902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197793792).

101902080 is an abundant number, since it is smaller than the sum of its proper divisors (293685504).

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

101902080 is a wasteful number, since it uses less digits than its factorization.

101902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 101902080 is about 10094.6560119699. The cubic root of 101902080 is about 467.0833104460.

The spelling of 101902080 in words is "one hundred one million, nine hundred two thousand, eighty".