101849088 has 144 divisors (see below), whose sum is σ = 300638520. Its totient is φ = 30638080.

The previous prime is 101849087. The next prime is 101849113. The reversal of 101849088 is 880948101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101849081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743356 + ... + 743492.

Almost surely, 2^101849088 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 101849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150319260).

101849088 is an abundant number, since it is smaller than the sum of its proper divisors (198789432).

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

101849088 is a wasteful number, since it uses less digits than its factorization.

101849088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 101849088 is about 10092.0309155293. The cubic root of 101849088 is about 467.0023308411.

The spelling of 101849088 in words is "one hundred one million, eight hundred forty-nine thousand, eighty-eight".