101612040 has 64 divisors (see below), whose sum is σ = 306936000. Its totient is φ = 26909952.

The previous prime is 101612039. The next prime is 101612041. The reversal of 101612040 is 40216101.

It is an interprime number because it is at equal distance from previous prime (101612039) and next prime (101612041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101612041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15039 + ... + 20721.

It is an arithmetic number, because the mean of its divisors is an integer number (4795875).

Almost surely, 2^101612040 is an apocalyptic number.

101612040 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 101612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153468000).

101612040 is an abundant number, since it is smaller than the sum of its proper divisors (205323960).

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

101612040 is a wasteful number, since it uses less digits than its factorization.

101612040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101612040 is about 10080.2797580226. The cubic root of 101612040 is about 466.6397422108.

Adding to 101612040 its reverse (40216101), we get a palindrome (141828141).

The spelling of 101612040 in words is "one hundred one million, six hundred twelve thousand, forty".