101349144 has 160 divisors (see below), whose sum is σ = 312847920. Its totient is φ = 30461184.

The previous prime is 101349139. The next prime is 101349161. The reversal of 101349144 is 441943101.

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 39 ways as a sum of consecutive naturals, for example, 446359 + ... + 446585.

Almost surely, 2^101349144 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 101349144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156423960).

101349144 is an abundant number, since it is smaller than the sum of its proper divisors (211498776).

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

101349144 is a wasteful number, since it uses less digits than its factorization.

101349144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101349144 is about 10067.2311982988. The cubic root of 101349144 is about 466.2369563683.

The spelling of 101349144 in words is "one hundred one million, three hundred forty-nine thousand, one hundred forty-four".