101149398 has 80 divisors (see below), whose sum is σ = 260941824. Its totient is φ = 28686960.

The previous prime is 101149357. The next prime is 101149403. The reversal of 101149398 is 893941101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216361 + ... + 216827.

Almost surely, 2^101149398 is an apocalyptic number.

101149398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101149398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130470912).

101149398 is an abundant number, since it is smaller than the sum of its proper divisors (159792426).

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

101149398 is a wasteful number, since it uses less digits than its factorization.

101149398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 101149398 is about 10057.3057028212. The cubic root of 101149398 is about 465.9304574275.

The spelling of 101149398 in words is "one hundred one million, one hundred forty-nine thousand, three hundred ninety-eight".