100949288 has 32 divisors (see below), whose sum is σ = 207900000. Its totient is φ = 45572160.

The previous prime is 100949267. The next prime is 100949309. The reversal of 100949288 is 882949001.

It is an interprime number because it is at equal distance from previous prime (100949267) and next prime (100949309).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9263 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (6496875).

Almost surely, 2^100949288 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 100949288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103950000).

100949288 is an abundant number, since it is smaller than the sum of its proper divisors (106950712).

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

100949288 is a wasteful number, since it uses less digits than its factorization.

100949288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7865 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 100949288 is about 10047.3522880409. The cubic root of 100949288 is about 465.6229950697.

The spelling of 100949288 in words is "one hundred million, nine hundred forty-nine thousand, two hundred eighty-eight".