101407341 has 32 divisors (see below), whose sum is σ = 159252480. Its totient is φ = 56198016.

The previous prime is 101407337. The next prime is 101407357. The reversal of 101407341 is 143704101.

101407341 = 383² + 384² + ... + 711².

It is not a de Polignac number, because 101407341 - 2² = 101407337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101407321) 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, 124945 + ... + 125753.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2^101407341 is an apocalyptic number.

It is an amenable number.

101407341 is a deficient number, since it is larger than the sum of its proper divisors (57845139).

101407341 is a wasteful number, since it uses less digits than its factorization.

101407341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 101407341 is about 10070.1212008595. The cubic root of 101407341 is about 466.3261806056.

The spelling of 101407341 in words is "one hundred one million, four hundred seven thousand, three hundred forty-one".