101861641 has 48 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 76839840.

The previous prime is 101861633. The next prime is 101861663. The reversal of 101861641 is 146168101.

It is not a de Polignac number, because 101861641 - 2³ = 101861633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101861621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1434636 + ... + 1434706.

It is an arithmetic number, because the mean of its divisors is an integer number (2790720).

Almost surely, 2^101861641 is an apocalyptic number.

It is an amenable number.

101861641 is a deficient number, since it is larger than the sum of its proper divisors (32092919).

101861641 is a wasteful number, since it uses less digits than its factorization.

101861641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 101861641 is about 10092.6528227221. The cubic root of 101861641 is about 467.0215162180.

The spelling of 101861641 in words is "one hundred one million, eight hundred sixty-one thousand, six hundred forty-one".