101051540 has 12 divisors (see below), whose sum is σ = 212208276. Its totient is φ = 40420608.

The previous prime is 101051527. The next prime is 101051543. The reversal of 101051540 is 45150101.

It can be written as a sum of positive squares in 2 ways, for example, as 35473936 + 65577604 = 5956^2 + 8098^2 .

It is a super-2 number, since 2×101051540² = 20422827472743200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2526269 + ... + 2526308.

It is an arithmetic number, because the mean of its divisors is an integer number (17684023).

Almost surely, 2^101051540 is an apocalyptic number.

101051540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101051540 is an abundant number, since it is smaller than the sum of its proper divisors (111156736).

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

101051540 is a wasteful number, since it uses less digits than its factorization.

101051540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052586 (or 5052584 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 101051540 is about 10052.4395049162. The cubic root of 101051540 is about 465.7801525804.

The spelling of 101051540 in words is "one hundred one million, fifty-one thousand, five hundred forty".