101506440 has 192 divisors, whose sum is σ = 361316160. Its totient is φ = 22740480.

The previous prime is 101506423. The next prime is 101506453. The reversal of 101506440 is 44605101.

It is a super-2 number, since 2×101506440² = 20607114722947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358539 + ... + 358821.

It is an arithmetic number, because the mean of its divisors is an integer number (1881855).

Almost surely, 2^101506440 is an apocalyptic number.

101506440 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 101506440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180658080).

101506440 is an abundant number, since it is smaller than the sum of its proper divisors (259809720).

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

101506440 is a wasteful number, since it uses less digits than its factorization.

101506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 101506440 is about 10075.0404465689. The cubic root of 101506440 is about 466.4780348743.

The spelling of 101506440 in words is "one hundred one million, five hundred six thousand, four hundred forty".