101861040 has 80 divisors (see below), whose sum is σ = 325979136. Its totient is φ = 26284800.

The previous prime is 101860999. The next prime is 101861051. The reversal of 101861040 is 40168101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101860998 and 101861016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 14285.

Almost surely, 2^101861040 is an apocalyptic number.

101861040 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 101861040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162989568).

101861040 is an abundant number, since it is smaller than the sum of its proper divisors (224118096).

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

101861040 is a wasteful number, since it uses less digits than its factorization.

101861040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13738 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101861040 is about 10092.6230485439. The cubic root of 101861040 is about 467.0205977156.

The spelling of 101861040 in words is "one hundred one million, eight hundred sixty-one thousand, forty".