101380741 has 32 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 72499200.

The previous prime is 101380733. The next prime is 101380759. The reversal of 101380741 is 147083101.

It is a cyclic number.

It is not a de Polignac number, because 101380741 - 2³ = 101380733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101380771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52725 + ... + 54613.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2^101380741 is an apocalyptic number.

101380741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101380741 is a deficient number, since it is larger than the sum of its proper divisors (35787899).

101380741 is a wasteful number, since it uses less digits than its factorization.

101380741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 101380741 is about 10068.8003754171. The cubic root of 101380741 is about 466.2854032779.

The spelling of 101380741 in words is "one hundred one million, three hundred eighty thousand, seven hundred forty-one".