101406411600 has 240 divisors, whose sum is σ = 350126465472. Its totient is φ = 24940154880.

The previous prime is 101406411571. The next prime is 101406411643. The reversal of 101406411600 is 6114604101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×101406411600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25847239 + ... + 25851161.

Almost surely, 2^101406411600 is an apocalyptic number.

101406411600 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 101406411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175063232736).

101406411600 is an abundant number, since it is smaller than the sum of its proper divisors (248720053872).

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

101406411600 is a wasteful number, since it uses less digits than its factorization.

101406411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 101406411600 in words is "one hundred one billion, four hundred six million, four hundred eleven thousand, six hundred".