101505040 has 160 divisors (see below), whose sum is σ = 295981056. Its totient is φ = 31518720.

The previous prime is 101505013. The next prime is 101505059. The reversal of 101505040 is 40505101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531345 + ... + 531535.

Almost surely, 2^101505040 is an apocalyptic number.

101505040 is a gapful number since it is divisible by the number (10) 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 101505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147990528).

101505040 is an abundant number, since it is smaller than the sum of its proper divisors (194476016).

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

101505040 is a wasteful number, since it uses less digits than its factorization.

101505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 101505040 is about 10074.9709677001. The cubic root of 101505040 is about 466.4758902740.

The spelling of 101505040 in words is "one hundred one million, five hundred five thousand, forty".