101161458 has 48 divisors (see below), whose sum is σ = 233041536. Its totient is φ = 31605120.

The previous prime is 101161433. The next prime is 101161493. The reversal of 101161458 is 854161101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94635 + ... + 95697.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 2^101161458 is an apocalyptic number.

101161458 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 101161458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116520768).

101161458 is an abundant number, since it is smaller than the sum of its proper divisors (131880078).

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

101161458 is a wasteful number, since it uses less digits than its factorization.

101161458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 101161458 is about 10057.9052491063. The cubic root of 101161458 is about 465.9489742555.

The spelling of 101161458 in words is "one hundred one million, one hundred sixty-one thousand, four hundred fifty-eight".