101150406 has 72 divisors (see below), whose sum is σ = 258597144. Its totient is φ = 28486080.

The previous prime is 101150393. The next prime is 101150411. The reversal of 101150406 is 604051101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63601 + ... + 65171.

It is an arithmetic number, because the mean of its divisors is an integer number (3591627).

Almost surely, 2^101150406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101150406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129298572).

101150406 is an abundant number, since it is smaller than the sum of its proper divisors (157446738).

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

101150406 is a wasteful number, since it uses less digits than its factorization.

101150406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101150406 is about 10057.3558155213. The cubic root of 101150406 is about 465.9320051590.

The spelling of 101150406 in words is "one hundred one million, one hundred fifty thousand, four hundred six".