106701540 has 96 divisors (see below), whose sum is σ = 327680640. Its totient is φ = 25728000.

The previous prime is 106701521. The next prime is 106701541. The reversal of 106701540 is 45107601.

It is a super-2 number, since 2×106701540² = 22770437276743200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106701540.

It is not an unprimeable number, because it can be changed into a prime (106701541) 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, 177240 + ... + 177840.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2^106701540 is an apocalyptic number.

106701540 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 106701540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840320).

106701540 is an abundant number, since it is smaller than the sum of its proper divisors (220979100).

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

106701540 is a wasteful number, since it uses less digits than its factorization.

106701540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106701540 is about 10329.6437499074. The cubic root of 106701540 is about 474.3041186030.

The spelling of 106701540 in words is "one hundred six million, seven hundred one thousand, five hundred forty".