106150010652 has 288 divisors, whose sum is σ = 332944496640. Its totient is φ = 29129829120.

The previous prime is 106150010611. The next prime is 106150010663. The reversal of 106150010652 is 256010051601.

It is a happy number.

106150010652 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 0 + 0 + 1 + 0 + 652 = 666.

It is a super-2 number, since 2×106150010652² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22472763 + ... + 22477485.

It is an arithmetic number, because the mean of its divisors is an integer number (1156057280).

Almost surely, 2^106150010652 is an apocalyptic number.

106150010652 is a gapful number since it is divisible by the number (12) 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 106150010652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166472248320).

106150010652 is an abundant number, since it is smaller than the sum of its proper divisors (226794485988).

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

106150010652 is a wasteful number, since it uses less digits than its factorization.

106150010652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 106150010652 in words is "one hundred six billion, one hundred fifty million, ten thousand, six hundred fifty-two".