101558340 has 384 divisors, whose sum is σ = 386104320. Its totient is φ = 21897216.

The previous prime is 101558333. The next prime is 101558341. The reversal of 101558340 is 43855101.

101558340 is a `hidden beast` number, since 101 + 558 + 3 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101558341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2744802 + ... + 2744838.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^101558340 is an apocalyptic number.

101558340 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 101558340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

101558340 is an abundant number, since it is smaller than the sum of its proper divisors (284545980).

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

101558340 is a wasteful number, since it uses less digits than its factorization.

101558340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 101558340 is about 10077.6157894613. The cubic root of 101558340 is about 466.5575243628.

The spelling of 101558340 in words is "one hundred one million, five hundred fifty-eight thousand, three hundred forty".