101054540 has 48 divisors (see below), whose sum is σ = 225681120. Its totient is φ = 37900800.

The previous prime is 101054537. The next prime is 101054549. The reversal of 101054540 is 45450101.

It is a super-2 number, since 2×101054540² = 20424040109223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101054549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37064 + ... + 39696.

It is an arithmetic number, because the mean of its divisors is an integer number (4701690).

Almost surely, 2^101054540 is an apocalyptic number.

101054540 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 101054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112840560).

101054540 is an abundant number, since it is smaller than the sum of its proper divisors (124626580).

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

101054540 is a wasteful number, since it uses less digits than its factorization.

101054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 101054540 is about 10052.5887213195. The cubic root of 101054540 is about 465.7847618673.

The spelling of 101054540 in words is "one hundred one million, fifty-four thousand, five hundred forty".