106213261540 has 96 divisors (see below), whose sum is σ = 244146672000. Its totient is φ = 38659203072.

The previous prime is 106213261529. The next prime is 106213261541. The reversal of 106213261540 is 45162312601.

It is a happy number.

It is a super-2 number, since 2×106213261540² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106213261541) 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, 2101891 + ... + 2151829.

It is an arithmetic number, because the mean of its divisors is an integer number (2543194500).

Almost surely, 2^106213261540 is an apocalyptic number.

106213261540 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 106213261540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122073336000).

106213261540 is an abundant number, since it is smaller than the sum of its proper divisors (137933410460).

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

106213261540 is a wasteful number, since it uses less digits than its factorization.

106213261540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50189 (or 50187 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 106213261540 in words is "one hundred six billion, two hundred thirteen million, two hundred sixty-one thousand, five hundred forty".