290100096 has 256 divisors, whose sum is σ = 1007596800. Its totient is φ = 81008640.

The previous prime is 290100073. The next prime is 290100149. The reversal of 290100096 is 690001092.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 493915 + ... + 494501.

It is an arithmetic number, because the mean of its divisors is an integer number (3935925).

Almost surely, 2^290100096 is an apocalyptic number.

290100096 is a gapful number since it is divisible by the number (26) 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 290100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

290100096 is an abundant number, since it is smaller than the sum of its proper divisors (717496704).

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

290100096 is a wasteful number, since it uses less digits than its factorization.

290100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 290100096 is about 17032.3250321264. The cubic root of 290100096 is about 661.9867407585.

The spelling of 290100096 in words is "two hundred ninety million, one hundred thousand, ninety-six".