106190149824 has 840 divisors, whose sum is σ = 368343793664. Its totient is φ = 30177100800.

The previous prime is 106190149801. The next prime is 106190149831. The reversal of 106190149824 is 428941091601.

It is a happy number.

106190149824 is a `hidden beast` number, since 1 + 0 + 619 + 0 + 1 + 4 + 9 + 8 + 24 = 666.

It is a super-2 number, since 2×106190149824² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106190149824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 836142849 + ... + 836142975.

Almost surely, 2^106190149824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106190149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184171896832).

106190149824 is an abundant number, since it is smaller than the sum of its proper divisors (262153643840).

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

106190149824 is a wasteful number, since it uses less digits than its factorization.

106190149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 106190149824 in words is "one hundred six billion, one hundred ninety million, one hundred forty-nine thousand, eight hundred twenty-four".