101909136 has 80 divisors (see below), whose sum is σ = 313979904. Its totient is φ = 27848832.

The previous prime is 101909117. The next prime is 101909147. The reversal of 101909136 is 631909101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135 + ... + 14321.

Almost surely, 2^101909136 is an apocalyptic number.

101909136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101909136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156989952).

101909136 is an abundant number, since it is smaller than the sum of its proper divisors (212070768).

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

101909136 is a wasteful number, since it uses less digits than its factorization.

101909136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 101909136 is about 10095.0054977697. The cubic root of 101909136 is about 467.0940909384.

The spelling of 101909136 in words is "one hundred one million, nine hundred nine thousand, one hundred thirty-six".