101661615 has 64 divisors (see below), whose sum is σ = 208811520. Its totient is φ = 46379520.

The previous prime is 101661613. The next prime is 101661629. The reversal of 101661615 is 516166101.

It is not a de Polignac number, because 101661615 - 2¹ = 101661613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101661613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23232 + ... + 27258.

It is an arithmetic number, because the mean of its divisors is an integer number (3262680).

Almost surely, 2^101661615 is an apocalyptic number.

101661615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101661615 is an abundant number, since it is smaller than the sum of its proper divisors (107149905).

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

101661615 is a wasteful number, since it uses less digits than its factorization.

101661615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101661615 is about 10082.7384673014. The cubic root of 101661615 is about 466.7156187311.

It can be divided in two parts, 10166 and 1615, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 101661615 in words is "one hundred one million, six hundred sixty-one thousand, six hundred fifteen".