106019294629248 has 1536 divisors, whose sum is σ = 430178195865600. Its totient is φ = 25096867061760.

The previous prime is 106019294629153. The next prime is 106019294629253. The reversal of 106019294629248 is 842926492910601.

106019294629248 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 19 + 294 + 6 + 292 + 48 = 666.

It is a super-2 number, since 2×106019294629248² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2459651665 + ... + 2459694767.

It is an arithmetic number, because the mean of its divisors is an integer number (280063929600).

Almost surely, 2^{106019294629248} is an apocalyptic number.

106019294629248 is a gapful number since it is divisible by the number (18) 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 106019294629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215089097932800).

106019294629248 is an abundant number, since it is smaller than the sum of its proper divisors (324158901236352).

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

106019294629248 is a wasteful number, since it uses less digits than its factorization.

106019294629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43242 (or 43218 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 106019294629248 in words is "one hundred six trillion, nineteen billion, two hundred ninety-four million, six hundred twenty-nine thousand, two hundred forty-eight".